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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2020, Volume 111, Issue 9, Pages 591–596
DOI: https://doi.org/10.31857/S1234567820090037 (Mi jetpl6161) 		 
This article is cited in 11 scientific papers (total in 11 papers)

OPTICS AND NUCLEAR PHYSICS

Difference of mutant knot invariants and their differential expansion

L. V. Bishlerabc, Saswati Dharad, T. Grigoryeve, A. Mironovbac, A. Morozovcea, An. Morozovace, P. Ramadevid, Vivek Kumar Singhd, A. Sleptsoveac

a Institute for Theoretical and Experimental Physics, National Research Center Kurchatov Institute, Moscow, 117218 Russia
b Lebedev Physics Institute, Russian Academy of Sciences, Moscow, 119991 Russia
c Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127994 Russia
d Department of Physics, Indian Institute of Technology Bombay, Mumbai, 400076 India
e Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141701 Russia
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DOI: https://doi.org/10.31857/S1234567820090037
Abstract: We evaluate the differences of HOMFLY-PT invariants for pairs of mutant knots colored with representations of $SL(N)$, which are large enough to distinguish between them. These mutant pairs include the pretzel mutants, which require at least the representation, labelled by the Young diagram [2, 4]. We discuss the differential expansion for the differences, which is nontrivial in the case of mutants with a nonzero defect. The most effective technical tool in this case turns out to be the standard Reshetikhin-Turaev approach.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Ministry of Education and Science of the Russian Federation MK-2038.2019
Russian Foundation for Basic Research 19- 01-00680
19-02-00815
20-01-00644
18-31-20046_мол_а_вед
19-51-50008_ЯФ_а
19-51-53014_ГФЕН_а
18-51-05015_Арм_а
18-51-45010_ИНД_а
19-51-18006
INT/RUS/RFBR/P-231
National Science Foundation PHY1748958
This work was supported in part by the Foundation for the Advancement of Theoretical Physics “BASIS” (L. Bishler, A. Mironov, A. Morozov, An. Morozov, A. Sleptsov), by the Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific Schools (project no. MK-2038.2019, L. Bishler, An. Morozov), by the Russian Foundation for Basic Research (project no. 19-01-00680, A. Mironov; project no. 19-02-00815, A. Morozov; project no. 20-01-00644, An. Morozov, A. Sleptsov; project no. 18-31-20046-mol-a-ved, A. Sleptsov), by joint grant nos. 19-51-50008-YaF-a (L. Bishler, A. Mironov, An. Morozov), 19-51-53014-GFEN-a, 18-51- 05015-Arm-a, 18-51-45010-IND-a (L. Bishler, A. Mironov, A. Morozov, An. Morozov, A. Sleptsov). P. Ramadevi, Vivek Kumar Singh, and Saswati Dhara acknowledge the support of the Department of Science and Technology (DST), Government of India and the Russian Foundation for Basic Research (grant no. INT/RUS/RFBR/P-231). The work was also partly supported jointly by the Russian Foundation for Basic Research and NSFB (project no. 19- 51-18006 (A. Mironov, A. Morozov, An. Morozov). A. Mironov, A. Morozov, and P. Ramadevi also acknowledge the hospitality of KITP and partial support of the National Science Foundation (grant no. NSF PHY1748958).
Received: 08.04.2020
Revised: 08.04.2020
Accepted: 08.04.2020
English version:
Journal of Experimental and Theoretical Physics Letters, 2020, Volume 111, Issue 9, Pages 494–499
DOI: https://doi.org/10.1134/S0021364020090015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. V. Bishler, Saswati Dhara, T. Grigoryev, A. Mironov, A. Morozov, An. Morozov, P. Ramadevi, Vivek Kumar Singh, A. Sleptsov, “Difference of mutant knot invariants and their differential expansion”, Pis'ma v Zh. Èksper. Teoret. Fiz., 111:9 (2020), 591–596; JETP Letters, 111:9 (2020), 494–499
Citation in format AMSBIB
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\paper Difference of mutant knot invariants and their differential expansion
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
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\vol 111
\issue 9
\pages 591--596
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    • This publication is cited in the following 11 articles:
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